Multivariate Spectral Conjugate Gradient Projection Method for Nonlinear Monotone Equations

Author

Yuanying Qiu ; Ying Chen ; Lei Li ; Xianwen He

Author_Institution

Sch. of Foreign Languages, Gannan Normal Univ., Ganzhou, China

fYear

2013

fDate

9-11 Sept. 2013

Firstpage

672

Lastpage

675

Abstract

This paper presents a multivariate spectral conjugate gradient projection method (MSCGP) for solving the nonlinear monotone equations with convex constraints. The proposed method has low storage requirement and it does not need the computation of the derivative as well as the solution to some linear equations. Under some appropriate assumptions, globally convergent is established. Numerical results show that the proposed method is efficient and competitive to some exist methods in the literature.

Keywords

conjugate gradient methods; convergence of numerical methods; nonlinear equations; MSCGP; convex constraints; global convergence; linear equations; multivariate spectral conjugate gradient projection method; nonlinear monotone equations; storage requirement; Convergence; Educational institutions; Equations; Gradient methods; Nonlinear systems; Global convergence; Gradient projection method; Multivariate spectral conjugate gradient method; Nonlinear monotone equations;

fLanguage

English

Publisher

ieee

Conference_Titel

Emerging Intelligent Data and Web Technologies (EIDWT), 2013 Fourth International Conference on

Conference_Location

Xi´an

Print_ISBN

978-1-4799-2140-9

Type

conf

DOI

10.1109/EIDWT.2013.121

Filename

6631700